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! AJYIK computes Bessel functions Jv(x), Yv(x), Iv(x), Kv(x).
Discussion:
Compute Bessel functions Jv(x) and Yv(x), and modified Bessel functions
Iv(x) and Kv(x), and their derivatives with v = 1/3, 2/3.
Licensing:
This routine is copyrighted by Shanjie Zhang and Jianming Jin. However,
they give permission to incorporate this routine into a user program
provided that the copyright is acknowledged.
Modified:
31 July 2012
Author:
Shanjie Zhang, Jianming Jin
Reference:
Shanjie Zhang, Jianming Jin,
Computation of Special Functions,
Wiley, 1996,
ISBN: 0-471-11963-6,
LC: QA351.C45.
Parameters:
Input, real ( kind = 8 ) X, the argument. X should not be zero.
Output, real ( kind = 8 ) VJ1, VJ2, VY1, VY2, VI1, VI2, VK1, VK2,
the values of J1/3(x), J2/3(x), Y1/3(x), Y2/3(x), I1/3(x), I2/3(x),
K1/3(x), K2/3(x).
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| real(kind=8) | :: | x | ||||
| real(kind=8) | :: | vj1 | ||||
| real(kind=8) | :: | vj2 | ||||
| real(kind=8) | :: | vy1 | ||||
| real(kind=8) | :: | vy2 | ||||
| real(kind=8) | :: | vi1 | ||||
| real(kind=8) | :: | vi2 | ||||
| real(kind=8) | :: | vk1 | ||||
| real(kind=8) | :: | vk2 |